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30883320 = 23325136599
BaseRepresentation
bin111010111001…
…1110111111000
32011010000221200
41311303313320
530401231240
63021534200
7523334556
oct165636770
964100850
1030883320
1116484106
12a414360
136524070
14415cbd6
152aa0930
hex1d73df8

30883320 has 96 divisors (see below), whose sum is σ = 108108000. Its totient is φ = 7600896.

The previous prime is 30883309. The next prime is 30883327. The reversal of 30883320 is 2338803.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30883327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1381 + ... + 7979.

It is an arithmetic number, because the mean of its divisors is an integer number (1126125).

Almost surely, 230883320 is an apocalyptic number.

30883320 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30883320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54054000).

30883320 is an abundant number, since it is smaller than the sum of its proper divisors (77224680).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

30883320 is a wasteful number, since it uses less digits than its factorization.

30883320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6629 (or 6622 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 30883320 is about 5557.2763112878. The cubic root of 30883320 is about 313.7434446761.

The spelling of 30883320 in words is "thirty million, eight hundred eighty-three thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 18 20 24 26 30 36 39 40 45 52 60 65 72 78 90 104 117 120 130 156 180 195 234 260 312 360 390 468 520 585 780 936 1170 1560 2340 4680 6599 13198 19797 26396 32995 39594 52792 59391 65990 79188 85787 98985 118782 131980 158376 171574 197970 237564 257361 263960 296955 343148 395940 428935 475128 514722 593910 686296 772083 791880 857870 1029444 1187820 1286805 1544166 1715740 2058888 2375640 2573610 3088332 3431480 3860415 5147220 6176664 7720830 10294440 15441660 30883320